Today I noticed strange thing in predicate section of execution plan for simple query with regexp_like, where 3rd parameter “MODIFIER” was not specified:

SQL> select * from dual where regexp_like(dummy,'.');

D
-
X

SQL> select * from table(dbms_xplan.display_cursor);

PLAN_TABLE_OUTPUT
--------------------------------------------------------------------------
SQL_ID  97xuqf9cmjsta, child number 0
-------------------------------------
select * from dual where regexp_like(dummy,'.')

Plan hash value: 272002086

--------------------------------------------------------------------------
| Id  | Operation         | Name | Rows  | Bytes | Cost (%CPU)| Time     |
--------------------------------------------------------------------------
|   0 | SELECT STATEMENT  |      |       |       |     2 (100)|          |
|*  1 |  TABLE ACCESS FULL| DUAL |     1 |     2 |     2   (0)| 00:00:01 |
--------------------------------------------------------------------------

Predicate Information (identified by operation id):
---------------------------------------------------

   1 - filter( REGEXP_LIKE ("DUMMY",'.',HEXTORAW('F07FD85CFF0700006A1116
              45010000000000000000000000FC12164501000000000000000000000000000000000000
              0010000000000000001880D85CFF07000002000000000000000000000081000000') ))


20 rows selected.

It is particularly interesting that the values in HEXTORAW() are always different for different first parameters:

SQL> select * from dual where regexp_like(dummy,'x');
...
   1 - filter( REGEXP_LIKE ("DUMMY",'x',HEXTORAW('3895D330FF0700006A1116
              45010000000000000000000000FC12164501000000000000000000000000000000000000
              0011000000000000006895D330FF07000002000000000000000000000081000000') ))

SQL> select * from dual where regexp_like(dummy,'y');
...
   1 - filter( REGEXP_LIKE ("DUMMY",'y',HEXTORAW('00DA3C3FFF0700006A1116
              45010000000000000000000000FC12164501000000000000000000000000000000000000
              00110000000000000030DA3C3FFF07000002000000000000000000000081000000') ))

SQL> select * from dual where regexp_like(dummy||'','x')
...
   1 - filter( REGEXP_LIKE ("DUMMY"||'','x',HEXTORAW('70964F2FFF0700006A
              111645010000000000000000000000FC1216450100000000000000000000000000000000
              0000001100000000000000A0964F2FFF07000002000000000000000000000081000000')
               ))

I don’t know, what does it mean, but it looks like garbage from memory.
When I noticed this, I decided to check how regexp_like will work in function-based indexes:

SQL> create table xtest as
  2    select dummy||level as str
  3    from dual
  4    connect by level<=30;

Table created.

SQL> select * from xtest where case when regexp_like(str,'1') then 1 end = 1;
...
12 rows selected.

SQL> select * from table(dbms_xplan.display_cursor);

PLAN_TABLE_OUTPUT
-----------------------------------------------------------------------------------------
SQL_ID  7ztp0k8c1zn2h, child number 0
-------------------------------------
select * from xtest where case when regexp_like(str,'1') then 1 end = 1

Plan hash value: 4207139086

---------------------------------------------------------------------------
| Id  | Operation         | Name  | Rows  | Bytes | Cost (%CPU)| Time     |
---------------------------------------------------------------------------
|   0 | SELECT STATEMENT  |       |       |       |     3 (100)|          |
|*  1 |  TABLE ACCESS FULL| XTEST |    12 |   264 |     3   (0)| 00:00:01 |
---------------------------------------------------------------------------

Predicate Information (identified by operation id):
---------------------------------------------------

   1 - filter(CASE  WHEN  REGEXP_LIKE
              ("STR",'1',HEXTORAW('68F9CB32FF0700006A111645010000000000000000000000FC1
              216450100000000000000000000000000000000000000110000000000000098F9CB32FF0
              7000002000000000000000000000081000000') ) THEN 1 END =1)

SQL> create index xtest_fbi on xtest(case when regexp_like(str,'1') then 1 end);

Index created.

SQL> select * from xtest where case when regexp_like(str,'1') then 1 end = 1;
...
12 rows selected.

SQL> select * from table(dbms_xplan.display_cursor);

PLAN_TABLE_OUTPUT
-----------------------------------------------------------------------------------------
SQL_ID  7ztp0k8c1zn2h, child number 0
-------------------------------------
select * from xtest where case when regexp_like(str,'1') then 1 end = 1

Plan hash value: 1479471124

-----------------------------------------------------------------------------------------
| Id  | Operation                   | Name      | Rows  | Bytes | Cost (%CPU)| Time     |
-----------------------------------------------------------------------------------------
|   0 | SELECT STATEMENT            |           |       |       |     2 (100)|          |
|   1 |  TABLE ACCESS BY INDEX ROWID| XTEST     |    12 |   300 |     2   (0)| 00:00:01 |
|*  2 |   INDEX RANGE SCAN          | XTEST_FBI |    12 |       |     1   (0)| 00:00:01 |
-----------------------------------------------------------------------------------------

Predicate Information (identified by operation id):
---------------------------------------------------

   2 - access("XTEST"."SYS_NC00002$"=1)

SQL> select column_expression from user_ind_expressions e where e.index_name='XTEST_FBI';

COLUMN_EXPRESSION
-----------------------------------------------------------------------------------------
CASE  WHEN  REGEXP_LIKE ("STR",'1') THEN 1 END

As you can see it works fine, although the predicate from first execution plan differs from the FBI expression.
Then I dumped 10053 trace and noticed that the HEXTORAW(…) function appeared in “Explain Plan Dump” only, so it looks just like plan output bug.